Function Rules

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values in a function.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the function rule for doubling an input?

Back

y = 2x

Front

What is the function rule for adding 3 to an input?

Back

y = x + 3

Front

If the output is three times the input, what is the function rule?

Back

y = 3x

Front

What is the function rule for a bottle rocket launched from an 80 meter tall building traveling at 22 m/s?

Back

H = 80 + 22x

Front

What is the function rule for the output being half of the input?

Back

y = x/2

Front

If a function rule is y = 4x, what does this mean?

Back

This means that for every unit increase in x, y increases by 4 units.

Front

What is the function rule for subtracting 5 from an input?

Back

y = x - 5

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b.